What is Relevant Implication?

  • Alasdair Urquhart
Part of the Reason and Argument book series (REAR, volume 1)


In the work of Anderson and Belnap on entailment logics relevance rather than modality emerged as the central concept (though modality is emphasized in one of Ackermann’s early papers). In the present paper I propose to investigate this concept through three closely connected analyses, one proof-theoretical, the other two semantical. On the strength of these analyses I defend a concept of relevant implication which is intuitionistic rather than classical (as in the work of Anderson, Belnap, Meyer, Dunn and others).


Atomic Formula Connected Analysis Intuitionistic Logic Double Negation Natural Deduction 
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© Kluwer Academic Publishers 1989

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  • Alasdair Urquhart

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